In this work we study the entropy production rate \(\Pi \) 
[1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, [11]}
within underdamped dynamics for three canonical models of active particles. Contributions of inertia are
expected to play role in the regime where the persistence time of active motion \(\tau \)  is comparable to
or smaller than the inertial relaxation time \(\tau _r\) . Even if this regime might not accessible to experimental
systems, the inclusion of inertia is necessary to recover a correct behavior in the limit \(\tau \rightarrow 0\) .
